Geometry Name ________________ Review Worksheet 7.1-7.3

Simplify the following radicals.

1. 144 2. 75 3. ! 180 4. 4 72

5.

3 7!"

#$

2

6.

6 5!"

#$ 2 12!"

#$ 7. 4 8 + 3 32

8.

35

9.

2427

10.

3 7

12 11.

!5 6 4"

#$% 12. 6 13 ! 4 32

Find the unknown side length. Answers should be exact (simplified radicals). 13. 14. 15. 16.

Find the area and the perimeter of the shaded figure. 17. 18.

Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or obtuse.

19. 5, 12, 13 20. 8, 4, 6 21. 20, 21, 28

22. 13, 10, 12 23. 26, 35, 62 24. 10, 15, 5 13

Find the value(s) of the variables. Answers should be exact (simplified radicals). 25. 26. 27.

Find the value(s) of the variables. Round answers to the nearest 100th. 28.